A note on travelling waves in competitive reaction systems

Larry K. Forbes

Abstract


This note considers an established reaction-diffusion model for a combustion system, in which there are competing endothermic and exothermic reaction pathways. A combustion front is assumed to move at constant speed through the medium. An asymptotic theory is presented, that allows a simple and complete analysis of the approximate system in the phase plane. Both the adiabatic and non-adiabatic cases are discussed.

doi:10.1017/S1446181113000333

Keywords


combustion model; competing reactions; travelling wave; asymptotic analysis; phase plane



DOI: http://dx.doi.org/10.21914/anziamj.v55i0.6822



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.